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The observation of scaling in processes in which a weakly interacting probe delivers large momentum ${\bf q}$ to a many-body system reflects the dominance of incoherent scattering off target constituents. While a suitably defined scaling…

Nuclear Theory · Physics 2007-05-23 Omar Benhar

In this paper we investigate the universality and scaling properties of the well-known quantities in classical statistical mechanics near the quantum phase transition point. We show that transverse susceptibility and derivatives of…

Strongly Correlated Electrons · Physics 2015-03-17 R. Jafari

We cast a nonzero-temperature analysis of the jamming transition into the framework of a scaling ansatz. We show that four distinct regimes for scaling exponents of thermodynamic derivatives of the free energy such as pressure, bulk and…

Soft Condensed Matter · Physics 2024-08-30 Sean A. Ridout , Andrea J. Liu , James P. Sethna

Composite structure of particles somewhat modifies their statistics, compared to the pure Bose- or Fermi-ones. The spin-statistics theorem, so, is not valid anymore. Say, $\pi$-mesons, excitons, Cooper pairs are not ideal bosons, and,…

Quantum Physics · Physics 2019-12-24 A. M. Gavrilik , Yu. A. Mishchenko

We consider mass-deformed conformal gauge theories (mCGT) and investigate the scaling behaviour of hadronic observables as a function of the fermion mass. Applying renormalization group arguments directly to matrix elements, we find m_H ~…

High Energy Physics - Phenomenology · Physics 2011-06-13 Luigi Del Debbio , Roman Zwicky

Scaling laws in astrophysical systems that involve the energy, the geometry, and the spatio-temporal evolution, provide the theoretical framework for physical models of energy dissipation processes. A leading model is the standard…

Solar and Stellar Astrophysics · Physics 2026-01-13 Markus J. Aschwanden , Alexandre Araujo

The double-polarization observable $E$ was studied for the reaction $\gamma p\to p\omega$ using the CEBAF Large Acceptance Spectrometer (CLAS) in Hall B at the Thomas Jefferson National Accelerator Facility and the longitudinally-polarized…

Nuclear Experiment · Physics 2019-08-13 Z. Akbar , P. Roy , S. Park , V. Crede , A. V. Anisovich , I. Denisenko , E. Klempt , V. A. Nikonov , A. V. Sarantsev , K. P. Adhikari , S. Adhikari , M. J. Amaryan , S. Anefalos Pereira , H. Avakian , J. Ball , M. Battaglieri , V. Batourine , I. Bedlinskiy , S. Boiarinov , W. J. Briscoe , J. Brock , W. K. Brooks , V. D. Burkert , F. T. Cao , C. Carlin , D. S. Carman , A. Celentano , G. Charles , T. Chetry , G. Ciullo , L. Clark , P. L. Cole , M. Contalbrigo , O. Cortes , A. D'Angelo , N. Dashyan , R. De Vita , E. De Sanctis , A. Deur , C. Djalali , M. Dugger , R. Dupre , H. Egiyan , L. El Fassi , P. Eugenio , G. Fedotov , R. Fersch , A. Filippi , A. Fradi , M. Garcon , N. Gevorgyan , K. L. Giovanetti , F. X. Girod , C. Gleason , W. Gohn , E. Golovach , R. W. Gothe , K. A. Griffioen , M. Guidal , L. Guo , K. Hafidi , H. Hakobyan , C. Hanretty , N. Harrison , M. Hattawy , D. Heddle , K. Hicks , G. Hollis , M. Holtrop , D. G. Ireland , B. S. Ishkhanov , E. L. Isupov , D. Jenkins , S. Joosten , C. D. Keith , D. Keller , G. Khachatryan , M. Khachatryan , M. Khandaker , A. Kim , W. Kim , A. Klein , F. J. Klein , V. Kubarovsky , L. Lanza , K. Livingston , I. J. D. MacGregor , N. Markov , B. McKinnon , D. G. Meekins , T. Mineeva , V. Mokeev , A. Movsisyan , C. Munoz Camacho , P. Nadel-Turonski , S. Niccolai , M. Osipenko , A. I. Ostrovidov , M. Paolone , R. Paremuzyan , K. Park , E. Pasyuk , W. Phelps , O. Pogorelko , J. W. Price , Y. Prok , D. Protopopescu , B. A. Raue , M. Ripani , B. G. Ritchie , A. Rizzo , G. Rosner , F. Sabatie , C. Salgado , R. A. Schumacher , Y. G. Sharabian , Iu. Skorodumina , G. D. Smith , D. I. Sober , D. Sokhan , N. Sparveris , S. Stepanyan , I. I. Strakovsky , S. Strauch , M. Taiuti , M. Ungaro , H. Voskanyan , E. Voutier , X. Wei , M. H. Wood , N. Zachariou , L. Zana , J. Zhang , Z. W. Zhao

For a delta-correlated velocity field, simultaneous correlation functions of a passive scalar satisfy closed equations. We analyze the equation for the four-point function. To describe a solution completely, one has to solve the matching…

chao-dyn · Physics 2009-10-28 M. Chertkov , G. Falkovich , I. Kolokolov , V. Lebedev

Scaling describes how a given quantity $Y$ that characterizes a system varies with its size $P$. For most complex systems it is of the form $Y\sim P^\beta$ with a nontrivial value of the exponent $\beta$, usually determined by regression…

Physics and Society · Physics 2019-10-16 Marc Barthelemy

The recent progress in the study of finite-size scaling (FSS) properties of the Ising model is briefly reviewed. We calculate the universal FSS functions for the Binder parameter $g$ and the magnetization distribution function $p(m)$ for…

Statistical Mechanics · Physics 2009-10-31 Yutaka Okabe , Kazuhisa Kaneda , Yusuke Tomita , Macoto Kikuchi , Chin-Kun Hu

The multicritical behavior at the Nishimori point of two-dimensional Ising spin glasses is investigated by using numerical transfer-matrix methods to calculate probability distributions $P(C)$ and associated moments of spin-spin correlation…

Statistical Mechanics · Physics 2009-11-10 S. L. A. de Queiroz , R. B. Stinchcombe

The long wavelength diffusion coefficient of a critical fluid confined between two parallel plates separated by a distance L is strongly affected by the finite size. Finite size scaling leads us to expect that the vanishing of the diffusion…

Statistical Mechanics · Physics 2009-11-10 Palash Das , Jayanta K. Bhattacharjee

The first-order, in terms of electron-interaction in the perturbation theory, of the proper linear response function $\Pi ({\bf k}, \omega )$ gives rise to the exchange-contribution to the dielectric function $\epsilon ({\bf k} , \omega)$…

Strongly Correlated Electrons · Physics 2016-09-27 Zhixin Qian

Based on the homogeneity ($F[n_{\lambda m}]=\lambda^{p(m)}F[n]$) and invariance ($F[n_{\lambda m_0}]=F[n]$) properties of a functional of the electron density under uniform scaling of the coordinates in the density $n_{\lambda…

Mathematical Physics · Physics 2014-10-16 Lázaro Calderín

We summarize several decades of work in finding values for the percolation threshold p_c for site percolation on the square lattice, the universal correction-to-scaling exponent Omega, and the susceptibility amplitude ratio C^+/C^-, in two…

Disordered Systems and Neural Networks · Physics 2015-03-19 Robert M. Ziff

Two point correlation functions of the off-critical primary fields \phi_{1, 1+s} are considered in the perturbed minimal models M_{2, 2N+3} + \phi_{1,3}. They are given as infinite series of form factor contributions. The form factors of…

High Energy Physics - Theory · Physics 2008-11-26 Takeshi Oota

Using new scaling parameters $\beta_i$, we derive simple expressions for the excess thermodynamic properties of the Mean Spherical Approximation (MSA) for the ion-dipole mixture. For the MSA and its extensions we have shown that the…

Statistical Mechanics · Physics 2009-11-07 L. Blum

We study the ballistic conductivity of graphene bilayer in the presence of next-nearest neighbor hoppings between the layers. An undoped and unbiased system was found in Ref. [1] to show a nonuniversal (length-dependent) conductivity…

Mesoscale and Nanoscale Physics · Physics 2014-08-12 Grzegorz Rut , Adam Rycerz

We compute the effective dispersion and vibrational density of states (DOS) of two-dimensional sub-regions of three dimensional face centered cubic (FCC) crystals using both a direct projection-inversion technique and a Monte Carlo…

Soft Condensed Matter · Physics 2012-12-21 A. Hasan , C. E. Maloney

We report on measurements of self-diffusion coefficients in discrete numerical simulations of steady, homogeneous, collisional shearing flows of nearly identical, frictional, inelastic spheres. We focus on a range of relatively high solid…

Soft Condensed Matter · Physics 2021-04-01 Riccardo Artoni , Michele Larcher , James Jenkins , Patrick Richard
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